A finite difference solution of the regularized long-wave equation

Kutluay S., Esen A.

MATHEMATICAL PROBLEMS IN ENGINEERING, cilt.2006, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2006
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1155/mpe/2006/85743
  • Dergi Adı: MATHEMATICAL PROBLEMS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İnönü Üniversitesi Adresli: Evet

Özet

A linearized implicit finite difference method to obtain numerical solution of the one-dimensional regularized long-wave (RLW) equation is presented. The performance and the accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves interaction, and an undular bore. The obtained results are presented and compared with earlier work.